Abstract

In this paper a new covering notion, called <em>M-</em>star-Lindelof, is introduced and studied. This notion of covering arises from the selection hypothesis SS*<sub>D,fin</sub>(D, D). The stronger form SS*<sub>D,1</sub>(D, D) of the selection hypothesis SS*<sub>D,fin</sub>(D, D) will also be discussed. We then consider weaker versions of these properties involving iterations of the star operator.

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